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Finding the Fourth Proportional to 527,617.65, 728,125.74 and 323,781.15

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Solution

The fourth proportional to 527,617.65, 728,125.74 and 323,781.15 is: 446,826.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,617.65 : 728,125.74 = 323,781.15 : x
  2. Step 2: Convert to fraction form
    527,617.65/728,125.74 = 323,781.15/x
  3. Step 3: Cross multiply
    527,617.65x = 728,125.74 × 323,781.15
  4. Step 4: Simplify right side
    527,617.65x = 235,753,389,441.80
  5. Step 5: Solve for x
    x = 235,753,389,441.80/527,617.65
  6. Step 6: Final answer
    x = 446,826.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.